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1-2
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Chapter 1: Sample Wave Problems (PDF)
- Transverse Vibration of a Taut String
- Longitudinal Vibration of an Elastic Rod
- Traffic Flow on a Freeway
- Wave Propagation in Arteries
- Shallow Water Waves and Linearization
- Sound in Fluids
- Flexural Waves in a Beam on an Elastic Foundation
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3-4
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Chapter 2: One Dimensional Waves (PDF)
- General Solution to Wave Equation
- Branching of Arteries
- Waves in an Infinite Domain due to Initial Disturbances
- Reflection from the Fixed End of a String
- Forced Waves in an Infinite Domain
- String Embedded in an Elastic Surrounding
- Dispersion from a Localized Initial Disturbance
- Scattering of Sinusoidal Waves
- General Identities in Scattering by Arbitrary in Homogeneities
- Refraction in a Slowly Varying Medium
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5-7
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Chapter 3: Two Dimensional Waves (PDF - 2.4MB)
- Reflection and Transmission of Sound at an Interface
- Equations for Elastic Waves
- Free Waves in Infinite Space
- Elastic Waves in a Plane
- Reflection of Elastic Waves from a Plane Boundary
- Scattering of Monochromatic SH Waves
- Diffraction of SH Wave by a Long Crack
- Rayleigh Surface Waves
- Elastic Waves due to a Load Traveling on the Ground Surface
- Partial Wave Expansion
- Approximate Evaluation of an Integral
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8-10
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Chapter 4: Waves in Water (PDF)
- Governing Equations for Waves on the Sea Surface
- Progressive Waves on a Sea of Constant Depth
- Wave Resistance of a Two-dimensional Obstacle
- Narrow-banded Dispersive Waves in General
- Radiation of Surface Waves Forced by an Oscillating Pressure
- The Kelvin Pattern of Ship Wave
- Basic Theory for Two-dimensional Internal Waves in a Stratified Fluid
- Internal Waves Modes for Finite N
- Internal Waves in a Vertically Unbounded Fluid
- Reflection of Internal Waves at Boundary
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11
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Chapter 5: Wave Localization (PDF)
- Wave Localization in a Random Medium
- References
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12-13
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Chapter 6: Forced Dispersive Waves Along a Narrow Channel (PDF)
- Free Wave Propagation Along a Narrow Waveguide
- Forced Wave Propagation Along a Narrow Waveguide
- Initial Boundary Value Problem
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14-15
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Chapter 7: Internal Waves in a Stratified Fluid (PDF - 1.1MB)
- Introduction
- Governing Equations for Incompressible Density-stratified Fluid
- The Buoyancy Frequency (Brunt-Vaisala Frequency)
- Internal Gravity Waves in Unbounded Stratified Fluid
- Waveguide Behavior
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